An advertising firm wanted to target television advertisemen

An advertising firm wanted to target television advertisements for people who dine out often. The firm conducted a study in which 75 randomly selected people noted what they watched for a week, and then they were categorized according to the type of show they watched most. They also completed a questionnaire about how often they dine out, and were divided into those that do and do not dine out often. The results were:

Dine Out Often Group

Dine Out Rarely Group

Quiz Shows: 3

Quiz Shows: 8

Sit Coms: 9

Sit Coms: 6

Movies: 7

Movies: 13

News: 8

News: 3

Soap Operas: 3

Soap Operas: 15

Conduct a Chi-Square Test for Independence to determine if “TV Program” and “Dining Out” are dependent on each other. (Use a .05 significance level and make sure you show all 5 steps of the hypothesis test)A.            State the hypothesis

If any aspect of null hypothesis written in words is incorrect (.5 point)

If any aspect of null hypothesis written in notation is incorrect (.5 point)

If any aspect of alternative hypothesis written in words is incorrect (.5 point)

If any aspect of alternative hypothesis written in notation is incorrect (.5 point)

B.            Determine sampling distribution

It is critical that students choose a Chi Square (0 points)

C.            Determine critical value

If the critical value is not correct (1 point)

If degrees of freedom are not correct (1 point)

D.            Conduct hypothesis test

If correct equation is not used (2 points)

If correct X2 statistic is not found (2 points)

If X2 obtained is not compared to X2 critical in some form – words or notation (1 point)

E.            Make decision about rejecting/failing to reject the hypothesis

If student does not explicitly state “fail to reject the null hypothesis” (1 point)

If student does not write correct conclusion in words (1 point)

If student does not write correct conclusion in notation (1 point)

Calculate Cramer’s Phi and report its magnitude.

Step 5 Part B – If student does not give correct answer (1 point)

Solution